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  1. The price of an article is first decreased by 20% and then increased by 30%. If the resulting price is 416, the original price of the article is
    1. 350
    2. 405
    3. 400
    4. 450
Correct Option: C

If the original price of article be ₹ x, then

x ×
80
×
130
= 416
100100

⇒ x =
416 × 100 × 100
= ₹400
80 × 130

Aliter : Using Rule 5,
Let the number be x
The number increases by
=-20 + 30 -
20 × 30
% = 4%
100

⇒ x +
4x
= 416
100

104x
= 416
100

x = 400



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